A note on purity of crystalline local systems

DOI10.1090/PROC/16993MaRDI QIDQ6658156

Y.-S. Moon

Publication date: 8 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Galois representations (11F80) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

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• Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems
• Purity results for \(p\)-divisible groups and Abelian schemes over regular bases of mixed characteristic
• Purity for Hodge-Tate representations
• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Cristalline representations in the case of an imperfect residue field
• Spectral sequence of weights in Hyodo-Kato cohomology
• The Frobenius and monodromy operators for curves and abelian varieties
• Prisms and prismatic cohomology
• $\mathrm{B}_{\mathrm{dR}}$-représentations dans le cas relatif
• Représentations p-adiques cristallines et de de Rham dans le cas relatif
• Prismatic \(F\)-crystals and crystalline Galois representations
• A prismatic approach to crystalline local systems
• Completed prismatic \(F\)-crystals and crystalline \(Z_p\)-local systems

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